Dynamics of a diffusive predator–prey model with herd behavior

DOI10.15388/namc.2020.25.15723zbMath1432.92080OpenAlexW2999336817WikidataQ113234526 ScholiaQ113234526MaRDI QIDQ5212509

No author found.

Publication date: 29 January 2020

Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15388/namc.2020.25.15723

zbMATH Keywords

stabilityHopf bifurcationherd behaviordiffusive predator-prey modelLeslie-Gower term

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Bifurcation theory for ordinary differential equations (34C23) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32)

Related Items

Turing pattern of a diffusive predator-prey model with nonlocal delay and herd behavior, Stationary pattern and Hopf bifurcation of a diffusive predator–prey model, Hopf Bifurcation in a Delayed Diffusive Leslie–Gower Predator–Prey Model with Herd Behavior

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Effect of weak prey in Leslie-gower predator-prey model
• Existence of complex patterns in the Beddington-DeAngelis predator-prey model
• The effect of delay on a diffusive predator-prey system with modified Leslie-Gower functional response
• Modeling herd behavior in population systems
• Fractional-order delayed predator-prey systems with Holling type-II functional response
• Dynamics of a diffusive predator-prey model with modified Leslie-Gower term and Michaelis-Menten type prey harvesting
• Global stability and Hopf bifurcations of a Beddington-DeAngelis type predator-prey system with diffusion and delays
• Global asymptotic stability of positive steady states of a diffusive ratio-dependent prey-predator model
• Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
• Stability, Hopf bifurcations and spatial patterns in a delayed diffusive predator-prey model with herd behavior
• Predator-prey dynamics with square root functional responses
• Spatio-temporal dynamics near the steady state of a planktonic system
• Turing-Hopf bifurcations in a predator-prey model with herd behavior, quadratic mortality and prey-taxis
• Nonlinear dynamics of a delayed Leslie predator-prey model
• Global dynamics of a modified Leslie-Gower predator-prey model with Crowley-Martin functional responses
• A delayed ratio-dependent predator-prey model of interacting populations with Holling type III functional response
• Dynamics of a non-selective harvesting predator-prey model with Hassell-Varley type functional response and impulsive effects
• Pattern formation in a general glycolysis reaction-diffusion system
• Spatial dynamics in a predator-prey model with herd behavior
• A STOCHASTIC MODEL FOR STUDYING THE PROPERTIES OF CERTAIN BIOLOGICAL SYSTEMS BY NUMERICAL METHODS
• The properties of a stochastic model for the predator-prey type of interaction between two species
• Stability, Steady‐State Bifurcations, and Turing Patterns in a Predator–Prey Model with Herd Behavior and Prey‐taxis